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Syllabus

what is set - builder form and roster form

a) How many students did not play any game?

b) How many played only cricket?

c) How many played only one game?

d) How many played only two games?

## What will be the best reference books for class 11 cbse?

can anyone provide me with class 11 c++ sumita arora solutions

1.A survey of 500 television viewers produced the given information;285 watch football;195 watch hockey;115 watch cricket;70 watch football and hockey;45 watch football and cricket ;50 do not watch any of three games.How many watch exactly one of the three games ?

prove A-B = A intersection B complement

prove that (A-B) U (B-A) =(A U B) - (A intersection B)

Asked if you will cast your vote for a party the following feed back is obtained

ADULT MALE YES=10 NO=20 DONT KNOW=5

ADULT FEMALE YES=20 NO=15 DONT KNOW=5

YOUTHOVER18YEAR YES=10 NO=5 DONT KNOW=10

if A= adult male , C= common set of youth and women Y=set of positive opinion

N = set of negative opinion

then n(A1)=?

n(AandC)=?

n(Y U N)1 =?

n[ A and (Y and N )1]=?

Two finite sets have m and n elements. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Find the valuesof m and n.Draw Venn diagrams of :-

1. A-(BUC)

2.AU(B∩C)

In a survey of 100 students, the number of students studying the

various languages were found to be English only 18, English but not

Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and

Hindi 8, Number of no language 24. Find

i) How many students were studying Hindi?

ii) How many students were studying English and Hindi ?

In an exam, 80% passed in math, 72% passed in science, and 13% failed in both, If 312 students passed in both the subjects. Find the total number of students who appeared in the exam.

write in set builder form: {1, 4, 9 … 100}

It can be seen that 1 = 1

^{2}, 4 = 2^{2}, 9 = 3^{2}…100 = 10^{2}.{1, 4, 9… 100} = {

x:x=n^{2},nÎN and 1 ≤n≤ 10}how here n belongs to N

what is the formula for n(AUBUCUD) /

How will you represent a null set in set builder form??

If A and B be two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in A ∪ B ? Find, also the maximum number of elements in A ∪ B ?

what is the formula of n(A-B) and n(B-A)

a college awarded 38 medals in football,15 in basketball and 20 in cricket . if these medals went to a total of 58 men and only 3 men got medals in all three sports ,how many received medals in exactly 2 of the sports

_{n}: n belongs N, a_{n+1 }=3a_{n }and a_{1}= 2}describe the above in roster form

Q.25. A survey was conducted of the T.V programmes watched by 120 students of a school hostel revealed that 70 students watched 'Discovery channel' and 56 students watched 'sports channel' where as 24 watched both the programmes. Find the number of students who did not watch T.V on that day.

prove that :

A-(BnC)=(A-B)U(A-C)

Show that AUB(A union B) = A Intersection B implies A=B.

1. In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% buy C. 5% buy AB, 3% buy BC and 4% buy AC. If 2% families buy all the three, find the number of families which buy i) A only ii) B only iii) none of A,BC.

A and B are two sets then prove that A minus B union B is equal to A union B.

a survey shows that 63% of americans like cheese whereas 76% like apples.If x% of americans like both cheese and apples,find the value of x.

rnplz explain in very a easy step.....

FIND n(A INTERSECTION B) , n(A-B) , n(B-A)

sir can you prove the de morgan's law using venn diagram?

if A={a,{b}}, find P(A)

3.In a survey of 25 students, it was found that 15 had taken mathematics,12 had taken Physics and 11 had taken chemistry.5 had takenMathematics and Chemistry,9 had taken mathematics and Physics,4 had taken Chemistry and Physics and 3 had taken all the three subjects. Find the number of students that had7. In a survey of 100 people it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A B, 10 read magazine AC 5 read magazine B and C and 3 read all the three. Find:i) How many read none of the magazines?ii) How many read magazine C only?

Let A= {a,b,c,e,f), B=(c,d,e,g} and C={b,c,f,g} be subset of the set U={a,b,c,d,e,f,g,h}

draw venn diagrams to represent the following sets

(i) A B (ii) AU(B∩C) (iii) A-B

(iV) B-A (v) A-(B∩C)(vi) (B-C)U(C-B)

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suppose A

_{1}, A_{2},....,A_{30}are 30 sets each with 5 elements and B_{1}, B_{2},...., B_{n}are n sets each with 3 elements. let union ofA_{1}, A_{2},....,A_{30}= union ofB_{1}, B_{2},...., B_{n}=S. Each element of S belongs to 10 of A's and 9 of B's. find n.WHAT DOES IT MEAN????????????

wat are d uses of sets in our daily life?

In a group of 40 students , 26 students take tea , 18 take coffee and 8 take neither tea nor coffee . How many take both tea and coffee?

IN A TOWN OF 10,000 FAMILIES IT WAS FOUND THAT 40% FAMILIES BUY NEWSPAPER A, 20% FAMILIES BUY NEWSPAPER B , AND 10% FAMILIES BUY NEWSPAPER C, 5% FAMILIES BUY A AND B , 3% BUY B AND C AND 4% BUY A AND C .IF 2% FAMILIES BUY ALL THE NEWSPAPERS FIND THE NUMBER OF FAMILIES WHICH BUY

1. A ONLY 2. B ONLY 3. NONE OF A ,B , AND C.

In a school there are 200 students. 100 play cricket, 50 play hockey and 60 play basketball.30 students play both cricket and hockey, and 35 play both hockey and basketball. 45 play both basketball and cricket.

Find Out:-

a.)What is the maximum number of students who play at least one game?

b.)What is the maximum number of students who play all the three games?

c.)What is the minimum number of students playing atleast one game?

d.)What is the number of student playing all the three games?

E={w|w-2/w+3=3, w belongs to R}

IF P(A)=P(B) SHOW THAT A=B

Hi

Prove That : cos6A = 32cos^6A - 48cos^4A + 18cos^2A - 1.

There are 20 students in a chemistry class and 30 students in a physics class. find the number of students which are either in physics or in chemistry class in the following cases:

a)two classes meet at the same hour. (hint: n(C∩P) =Φ)

b)The two classes meet at different hours and 10 students are enrolled in both the courses. (hint: n(C∩P)=10)

In a survey of 400 students in a school ,100 were listed as taking apple juice ,150 were listed as taking orange juice and 75 were listed as taking both apple as well as orange juice .Find how many students were taking neither apple juice nor orange juice.

Verify De Morgan's law by using venn's diagram.

Give an example of three sets A,B,C such that A intersection B is not equal to phi, B intersection C is not equal to phi, A intersection C is not equal to phi and A intersection B intersection C = phi.

prove that A intersection (B-C) = (A intersection B) - (A intersection C)

If x belongs to A and A belongs to B, then x Belongs to B? Determine whether true or false and explain.

answer is:-

False, Consider A = {{1},2}

clearly, 1belongs to A and A belongs to B but 1 doen't belong to B

So, x belong to A and A belongs to B need not imply that x belongs to B.

SIr Please explain and give suitable example to make me understand.a and b are two sets such that

n(a-b)=20+x

n(b-a)=3x

n(a∩b) =x+1 if n(a)= n(b)

the value of x

show that if ais A subset B,Then C-B is subset of C-A

In a class 18 students took physics, 23 took chemistry, 24 took maths, out of them 13 took chemistry and mathematics, 12 took physics and chemistry, 11 took physics and mathmetics. if 6 were offered all the three subjects find :

1. Total number of students in class

2. How many took maths but not chemistrty

3. How many took exactly one of the three subjects

Q1if A,B,C are three sets then proove that A∩(BC)=(A∩B)(A∩C)

Q2let A,B, and C be the sets such that AUB=AUC and A∩B=A∩C show that B=C

Let A,B be any two sets.Using properties of sets prove that -

(i) (A - B) U B = A U B

(ii) (A U B) - A= B - A

Let A,B,and C be the sets such that AUB

= AUC and A intersection B and A intersection B = A intesection C show that

B=C

How do we prove it without using the Venn diagram?

1. EITHER MATHEMATICS OR SCIENCE

2. NEITHER MATHEMATICS NOR SCIENCE

In a beauty contest, half the number of judges voted for Miss A, 2/3 voted for Miss B, 20 voted for both and 6 did not vote for neither Miss A nor Miss B. Find how many judges , in all, were present there?

i) (AUB) - C = (A-C) U (B-C)

ii) A-(BUC) = (A-B)∩(A-C)

bhak ye sab kya satta batta kar raha hai?

(AUBUC)n(AnB'nC')nC' = ?

What is the difference between

andbelongs to?subsetwhat are the total number of non empty subsets of {1,2,3,4,} and what are they?

in a class of 60 students,23 play hockey,15 play basketball,20 play cricket and 7 play hockey and basketball,5 play cricket and basketball,4 play hockeyand cricket,15 do not play any of the three games. find the number of students who

1- play all the three games

2-play hockey but not cricket

3-play hockey and cricket both,but not basketball

Let B be a subset of a set A and let P(A:B)={X E P(A):X is a superset of B}.

1)show that :P(A:

Φ) =P(A)2)if A={a,b,c,d} and B={a,b}.List all the members of the set P(A:B).

Out of 2000 employees in a office 48 % preferred cofee, 54% liked tea , 64% used to smoke . Out of th etotal employee 28% used cofee and tea , 32% used tea and smoke and 30% prefered cofee and smoke and only 6% did none of these . The number having all th ethrree is ?

write in set builder form: {-1,1}

what is set ?

Using properties of sets prove the statements given:-

(i) For all sets A and B, AU(B-A) = AUB

(ii) For all sets A and B, A-(A-B) = AintersectionB

(iii) For all sets A and B, (AUB)-B = A-B

what is an improper subset?

in a class of 25 student , 12 have taken maths,8 have taken maths but not biology.find the number of student who are taken maths and biology and the number of those who have taken biology but not maths .each student have taken either maths or biology or both?

if A=( 2x:x belongs to N}, B = { 3x; x belongs to N}, C={ 5x: x belongs to N}, then find ( A intersection B) intersection C.

Two finite sets have m and n elements. The total no. of subsets of the first set is 56 more than that of the total no. of subsets of the second set. Find the values of m and n.

At a certain conference of 100 people there are 29 Indian women and 23 Indian men . Out of these Indian people 4 are doctor and 24 are either men or doctors . There are no foriegn doctors. The number of women doctors attending the conference is ?

in a certain school 40% of the pupils play basketball , 25% play volleyball , and 10% play basketball and volleyball . what percentage of the pupils in the school play neither play basketball nor volleyball . display with venn diagram